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joja [24]
2 years ago
14

WHAT IS THE ARITHMETIC SEQUENCE OF THE 37TH TERM: a1 equals -3;d equals 2.8

Mathematics
1 answer:
Svetllana [295]2 years ago
4 0
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
a_1-\textit{first term}\\
d=\textit{common difference}\\
----------\\
a_1=-3\\
d=2.8\\
n=37
\end{cases}\\\\
-----------------------------\\\\
a_{37}=-3+(37-1)2.8
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At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. Of these
Rufina [12.5K]
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There are 6 students in both Math and Sci.
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There are 2 in all the clubs.
 
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There is 1 student in Eng only.
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3 0
2 years ago
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
IrinaK [193]

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

4 0
3 years ago
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Klio2033 [76]
A is the answer because remember A is for adults and C is for Children.
8 0
3 years ago
Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, B
gizmo_the_mogwai [7]

Answer: The time taken by both of them if they work together is given by

3\dfrac{3}{5}\ hours

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

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Work done by Blake  = \dfrac{1}{9}

Work done by Ned = \dfrac{1}{6}

Total work done by both of them together is given by

\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}

So, the time taken by both of them if they work together is given by

\dfrac{18}{5}=3\dfrac{3}{5}\ hours

7 0
3 years ago
Read 2 more answers
CAN ANYBODY HELP ME ON THIS QUESTION PLEASEEEEEEEEEE HELPPPPPPPP ME ASAP
laila [671]
I think the answer is 4/12 or 1/3
7 0
3 years ago
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